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LCM of 704, 920, 407, 476, 498

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 704, 920, 407, 476, 498 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 704, 920, 407, 476, 498. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 704,920,407,476,498

Given numbers are 704,920,407,476,498

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 704,920,407,476,498 is 88760253120.

Find LCM of 704,920,407,476,498 with Prime Factorization


2 704, 920, 407, 476, 498
2 352, 460, 407, 238, 249
2 176, 230, 407, 119, 249
11 88, 115, 407, 119, 249
8, 115, 37, 119, 249

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 11 x 8 x 115 x 37 x 119 x 249 = 88760253120

Therefore, the lowest common multiple of 704,920,407,476,498 is 88760253120.

LCM Formula to Find Lowest Common Multiple of 704,920,407,476,498

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

704 x 920 x 407 x 476 x 498 = 62487218196480

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

407 : 1, 11, 37, 407

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

498 : 1, 2, 3, 6, 83, 166, 249, 498

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,920,407,476,498, is 1.

Now, the common factors can be found like this.

704:2x 2x 2x 2x 2x 2x 11

920:2x 2x 2x 5x 23

407:11x 37

476:2x 2x 7x 17

498:2x 3x 83

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 2x 11 = 704

Therefore, the value for common factors is 704.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 62487218196480/(1x704)

LCM = 62487218196480/704

LCM = 88760253120

Thus, we can understand that the LCM of 704,920,407,476,498 is 88760253120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 704, 920, 407, 476, 498

1. What is the LCM of 704, 920, 407, 476, 498?

Answer: LCM of 704, 920, 407, 476, 498 is 88760253120.

2. How to calculate the LCM of 704, 920, 407, 476, 498?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 704, 920, 407, 476, 498.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.